What is the first derivative of rx+d ?

The first derivative of rx+d is r

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derivative of rx+d

derivative of

r x + d

r

Solution steps

\frac{d}{d x} (r x + d)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (r x) + \frac{dd}{d x}

\frac{d}{d x} (r x) = r

\frac{dd}{d x} = 0

= r + 0

Simplify

= r

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